102042522 has 72 divisors (see below), whose sum is σ = 235075932. Its totient is φ = 31968000.

The previous prime is 102042509. The next prime is 102042547. The reversal of 102042522 is 225240201.

102042522 is a `hidden beast` number, since 102 + 0 + 42 + 522 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 91987281 + 10055241 = 9591^2 + 3171^2 .

It is a super-2 number, since 2×102042522² = 20825352592240968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102042495 and 102042504.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1010272 + ... + 1010372.

Almost surely, 2^102042522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102042522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117537966).

102042522 is an abundant number, since it is smaller than the sum of its proper divisors (133033410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102042522 is a wasteful number, since it uses less digits than its factorization.

102042522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102042522 is about 10101.6098716987. The cubic root of 102042522 is about 467.2977908618.

Adding to 102042522 its reverse (225240201), we get a palindrome (327282723).

The spelling of 102042522 in words is "one hundred two million, forty-two thousand, five hundred twenty-two".